A V Kitaev 1990 J. Phys. A: Math. Gen. 23 3543 doi:10.1088/0305-4470/23/15/025
A V Kitaev
Show affiliationsThe availability of more general similarity solutions than obtained previously is shown. Representations of the earlier known general complex similarity solutions in terms of Painleve V and especially VI functions are given. Necessary comments and corrections of some published results regarding the Painleve VI equation theory are made. A new Backlund transformation for the Painleve VI equation is obtained.
34M55 Painlevé and other special equations; classification, hierarchies; isomonodromic deformations
Issue 15 (7 August 1990)
A V Kitaev 1990 J. Phys. A: Math. Gen. 23 3543
Paul C Johns and Matthew P Wismayer 2004 Phys. Med. Biol. 49 5233
Y H Ren et al 2009 New J. Phys. 11 113013
M Sassowsky and E Pedroni 2005 Phys. Med. Biol. 50 5381
K. Ohtsuka et al 2007 ApJ 668 L71
Ruth Gregory and Jeffrey A Harvey 2003 Class. Quantum Grav. 20 L231
Itamar Sela and Doron Cohen 2006 J. Phys. A: Math. Gen. 39 3575
Serge Demers and Paolo Battinelli 1998 The Astronomical Journal 115 154
T Ossowski et al 2009 J. Phys.: Condens. Matter 21 485002
G Oskam et al 1998 J. Phys. D: Appl. Phys. 31 1927